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Transient flow in a side-heated cavity at high Rayleigh number: a numerical study

Published online by Cambridge University Press:  26 April 2006

S. G. Schladow ,
J. C. Patterson  and
R. L. Street
S. G. Schladow
Affiliation:
Environmental Fluid Mechanics Laboratory, Department of Civil Engineering, Stanford University, Stanford, CA 94305–4020, USA
J. C. Patterson
Affiliation:
Center for Water Research, University of Western Australia, Nedlands, WA 6009, Australia
R. L. Street
Affiliation:
Environmental Fluid Mechanics Laboratory, Department of Civil Engineering, Stanford University, Stanford, CA 94305–4020, USA
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Abstract

A series of two- and three-dimensional numerical simulations of transient flow in a side-heated cavity has been conducted. The motivation for the work has been to resolve discrepancies between a flow description based on scaling arguments and one based on laboratory experiments, and to provide a more detailed description of the approach to steady state. All simulations were for a Rayleigh number of 2 × 109, and a water-filled cavity of aspect ratio 1. The simulations (beginning with an isothermal fluid at rest) generally agree with the results of the scaling arguments. In addition, the experimental observations are entirely accounted for by the position of the measurement instruments and the presence of an extremely weak, stabilizing temperature gradient in the vertical.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 200 , March 1989 , pp. 121 - 148
Copyright
© 1989 Cambridge University Press

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